4013263364448 has 96 divisors (see below), whose sum is σ = 11481876112896. Its totient is φ = 1219972520448.

The previous prime is 4013263364443. The next prime is 4013263364507. The reversal of 4013263364448 is 8444633623104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4013263364448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4013263364397 and 4013263364406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013263364443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19268440 + ... + 19475607.

It is an arithmetic number, because the mean of its divisors is an integer number (119602876176).

Almost surely, 2^{4013263364448} is an apocalyptic number.

4013263364448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4013263364448 is an abundant number, since it is smaller than the sum of its proper divisors (7468612748448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013263364448 is a wasteful number, since it uses less digits than its factorization.

4013263364448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38744156 (or 38744148 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 4013263364448 in words is "four trillion, thirteen billion, two hundred sixty-three million, three hundred sixty-four thousand, four hundred forty-eight".